Exercise 4.4

Answers

Proof. Define $p \in P (𝔽)$ by

p (z) = (z - λ_{1}) \dots (z - λ_{m}) {(z - λ_{1})}^{n - m}

Clearly $p (λ_{1}) = \dots = p (λ_{m}) = 0$ , $\deg p = n$ and $p$ has no other zeros, as desired. □

celiopassos

2017-10-06 00:00